To clarify, you don't care about speedy guitar work, and you want to play faster, correct?

You will need the following tools:

Start slow. Gradually increase the tempo as you are able to play cleanly whatever it is that you're practicing. Don't increase the tempo until you have mastered (when you stop screwing up) the passage at the slower tempo.

There are a lot of ways to practice your technique. I like finger exercises: practicing the technique(s) in every situation you can surmise.

To clarify, you don't care about speedy guitar work, and you want to play faster, correct?

You will need the following tools:

Start slow. Gradually increase the tempo as you are able to play cleanly whatever it is that you're practicing. Don't increase the tempo until you have mastered (when you stop screwing up) the passage at the slower tempo.

There are a lot of ways to practice your technique. I like finger exercises: practicing the technique(s) in every situation you can surmise.

Make sure that if nothing else, you can alternate pick.

^this

Try working hard on alternate picking too. It has a more agressive and speedy feel in comparison to economy/legato.

For quick bursts of speed in jazz, learn how to sweep over 3 strings. Jazz uses a lot of arpeggios, and although sweep picking is viewed as a shred technique by many, it's actually very common in jazz for squeezing in a few arpeggio lines.

Barney Kessel sweep picks quite often.

For other techniques, Pat Martino uses a lot of alternate picking at ridiculous tempos. Don't forget he had to learn guitar all over again due to a brain embolism.

Don't forget to warm up before you start practicing. It's one of the most important parts. Stretch your arms and fingers a little bit, then just do a couple chromatic 1-2-3-4 1-3-4-2 etc. patterns for 10 minutes to get warmed up.

General advice when trying to play faster--alternate playing fast and slow.

Truly practice what you are playing; play it slow, where you can play it perfectly. The next time through, play at the intended speed. Play faster if you can already play your licks at the proper speed perfectly.

I've found this gives you great balance--you don't stray from the development of technique or from the development of skill

Also remember that while it isn't too hard to get to grips with alternate picking compared to other techniques, it's probably the technique that you'll need to spend the most time on to get it really good. Relaxation, as others have said, is absolutely key and personally I believe is the hardest part of getting great alternate picking because when you speed up your body tries to help you do that by tensing up which is exactly the opposite of what you want.